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Sequential Analysis
Design Methods and Applications
Volume 23, 2004 - Issue 1
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Original Articles

Asymptotic Second-Order Efficiency of a Two-Stage Procedure for Estimating a Linear Function of Normal Means

Yoshikazu Takada Department of Computer Science, Kumamoto University, Kumamoto, Japan; Department of Computer Science, Kumamoto University, Kumamoto, 860-8555, JapanCorrespondence[email protected]
Pages 103-120 | Received 01 Apr 2003, Accepted 01 Oct 2003, Published online: 19 Aug 2006

References

  • Aoshima , M. and Mukhopadhyay , N. 2002 . Two-stage estimation of a linear function of normal means with second-order approximations . Sequential Anal. , 21 : 109 – 144 .
  • Aoshima , M. , Takada , Y. and Srivastava , M.S. 2002 . A two-stage procedure for estimating a linear function of K multinormal mean vectors when covariance matrices are unknown . J. Statist. Plann. Inference , 100 : 109 – 119 . [CROSSREF]
  • Aoshima , M. and Takada , Y. Asymptotic second-order efficiency for multivariate two-stage estimation of a linear function of normal mean vectors. To appear in Sequential Anal. 2004
  • Banerjee , S. 1967 . Confidence interval of preassigned length for the Behrence–Fisher problem . Ann. Math. Statist. , 38 : 1175 – 1179 .
  • Hall , P. 1981 . Asymptotic theory of triple sampling for sequential estimation of a mean . Ann. Statist. , 9 : 1229 – 1238 .
  • Mukhopadhyay , N. and Duggan , W.T. 1997 . Can a two-stage procedure enjoy second-order properties? . Sankhya A , 59 : 435 – 448 .
  • Mukhopadhyay , N. and Duggan , W.T. 1999 . On a two-stage procedure having second-order properties with applications . Ann. Inst. Statist. Math. , 51 : 621 – 636 . [CROSSREF]
  • Mukhopadhyay , N. and Liberman , S. 1989 . Sequential estimation of a linear function of mean vectors . Sequential Anal. , 8 : 381 – 395 .
  • Ramkaran , Chaturvedi , A.C. and Akbar , S.A. 1986 . Sequential estimation of a linear function of k-normal means . J. Indian Soc. Agric. Statist. , 38 : 395 – 402 .
  • Schwabe , R. 1995 . “ Some two-stage procedures for treating the Behrence–Fisher problem ” . In Model-Oriented Data Analysis Edited by: Müller , W.G. and Zhigljavsky , A.A. 81 – 89 . Springer-Verlag Company .
  • Takada , Y. and Aoshima , M. 1996 . Two-stage procedures for the difference of two multinormal means with covariance matrices different only by unknown scalar multipliers . Commun. Statist. Theor. Meth. , 25 : 2371 – 2379 .
  • Takada , Y. and Aoshima , M. 1997 . Two-stage procedures for estimating a linear function of multinormal mean vectors . Sequential Anal. , 16 : 353 – 362 .
  • Recommended by P. Chen

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